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100,823

100,823 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Arithmetic Number Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Safe Prime Sexy Prime Squarefree

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
328,001
Recamán's sequence
a(255,070) = 100,823
Square (n²)
10,165,277,329
Cube (n³)
1,024,893,756,141,767
Divisor count
2
σ(n) — sum of divisors
100,824
φ(n) — Euler's totient
100,822

Primality

100,823 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 100823
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 100,823)
1 × 100823
First multiples
100,823 · 201,646 (double) · 302,469 · 403,292 · 504,115 · 604,938 · 705,761 · 806,584 · 907,407 · 1,008,230

Sums & aliquot sequence

As consecutive integers: 50,411 + 50,412

Continued fraction of √n

√100,823 = [317; (1, 1, 8, 1, 44, 2, 6, 1, 8, 12, 1, 5, 1, 1, 3, 1, 13, 1, 89, 1, 3, 1, 3, 317, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred thousand eight hundred twenty-three
Ordinal
100823rd
Binary
11000100111010111
Octal
304727
Hexadecimal
0x189D7
Base64
AYnX
One's complement
4,294,866,472 (32-bit)
Scientific notation
1.00823 × 10⁵
In other bases
ternary (3) 12010022012
quaternary (4) 120213113
quinary (5) 11211243
senary (6) 2054435
septenary (7) 566642
nonary (9) 163265
undecimal (11) 69828
duodecimal (12) 4a41b
tridecimal (13) 36b78
tetradecimal (14) 28a59
pentadecimal (15) 1ed18

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρωκγʹ
Mayan (base 20)
𝋬·𝋬·𝋡·𝋣
Chinese
一十萬零八百二十三
Chinese (financial)
壹拾萬零捌佰貳拾參
In other modern scripts
Eastern Arabic ١٠٠٨٢٣ Devanagari १००८२३ Bengali ১০০৮২৩ Tamil ௧௦௦௮௨௩ Thai ๑๐๐๘๒๓ Tibetan ༡༠༠༨༢༣ Khmer ១០០៨២៣ Lao ໑໐໐໘໒໓ Burmese ၁၀၀၈၂၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 100829.

Unicode codepoint
𘧗
Tangut Component-472
U+189D7
Other letter (Lo)

UTF-8 encoding: F0 98 A7 97 (4 bytes).

Hex color
#0189D7
RGB(1, 137, 215)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.137.215.

Address
0.1.137.215
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.137.215

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 100,823 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 100823 first appears in π at position 318,146 of the decimal expansion (the 318,146ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.